Alexander Mielke

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Tomas RoubicekCharles University in Prague and Czech Academy of SciencesVerified email at mff.cuni.cz
Giuseppe SavaréProfessor of Mathematical Analysis, Department of Decisoion Sciences, Bocconi UniversityVerified email at unibocconi.it
Riccarda RossiRicercatore di analisi matematicaVerified email at unibs.it
Mark PeletierTU/eVerified email at tue.nl
Ulisse StefanelliUniversity of ViennaVerified email at univie.ac.at
Matthias LieroWeierstrass Institute BerlinVerified email at wias-berlin.de
D.R. Michiel RengerTU MünchenVerified email at tum.de
Klaus HacklRuhr University Bochum, Institute of Mechanics of MaterialsVerified email at rub.de
Johannes (Ioannis) GiannoulisDepartment of Mathematics, University of IoanninaVerified email at uoi.gr
Sergey ZelikUniversity of SurreyVerified email at surrey.ac.uk
Philip HolmesProfessor of Applied & Computational Mathematics, Princeton UniversityVerified email at math.princeton.edu
Gilles FrancfortFlatiron InstituteVerified email at flatironinstitute.org
Peter MarkowichKAUSTVerified email at kaust.edu.sa
Sanjay GovindjeeUniversity of California, BerkeleyVerified email at berkeley.edu
Uwe BandelowWIAS BerlinVerified email at wias-berlin.de
Valery LevitasAnson Marston Distinguished Professor in Engineering and Murray Harpole Chair in EngineeringVerified email at iastate.edu
Michael OrtizCaltech AND Brown UniversityVerified email at caltech.edu
Yibin FuProfessor of Applied Mathematics, Keele UniversityVerified email at keele.ac.uk
Markus MittnenzweigWeizmann Institute of ScienceVerified email at weizmann.ac.il
Martin KružíkInstitute of Information Theory and Automation of the CAS, Faculty of Civil Engrg., Cz. Techn. Uni.Verified email at utia.cas.cz

Alexander Mielke

Weierstraß-Institut für Angewandte Analysis und Stochastik

Verified email at wias-berlin.de - Homepage

applied analysis calculus of variations continuum mechanics gradient systems


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Evolution of rate-independent systems A Mielke Handbook of differential equations: Evolutionary equations 2, 461-559, 2005	556	2005
Non–convex potentials and microstructures in finite–strain plasticity C Carstensen, K Hackl, A Mielke Proceedings of the royal society of London. Series A: mathematical, physical …, 2002	437	2002
Rate-Independent Systems: Theory and Application A Mielke, T Roubíček Applied Math. Series Vol. 193, XXII+660pp, 2015	411*	2015
On rate-independent hysteresis models A Mielke, F Theil Nonlinear Differential Equations Applications 11 (2), 151-190, 2004	389	2004
Optimal entropy-transport problems and a new Hellinger–Kantorovich distance between positive measures M Liero, A Mielke, G Savaré Inventiones mathematicae 211 (3), 969-1117, 2018	377	2018
A Variational Formulation of Rate-Independent Phase Transformations Using an Extremum Principle A Mielke, F Theil, VI Levitas Archive for rational mechanics and analysis 162 (2), 137-177, 2002	377	2002
A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems A Mielke Nonlinearity 24 (4), 1329, 2011	324	2011
Existence results for a class of rate-independent material models with nonconvex elastic energies G Francfort, A Mielke Journal für Reine und Angewandte Mathematik (Crelle) 2006 (595), 55-91, 2006	275	2006
Existence results for energetic models for rate-independent systems A Mainik, A Mielke Calculus of Variations and Partial Differential Equations 22 (1), 73-100, 2005	263	2005
The validity of modulation equations for extended systems with cubic nonlinearities P Kirrmann, G Schneider, A Mielke Proceedings of the Royal Society of Edinburgh Section A: Mathematics 122 (1 …, 1992	253	1992
Reduction of quasilinear elliptic equations in cylindrical domains with applications A Mielke Mathematical methods in the applied sciences 10 (1), 51-66, 1988	253	1988
Hamiltonian and Lagrangian flows on center manifolds. With applications to elliptic variational problems. A Mielke Lecture notes in mathematics 1489, X+140, 1991	250*	1991
Γ-limits and relaxations for rate-independent evolutionary problems A Mielke, T Roubíček, U Stefanelli Calculus of Variations and Partial Differential Equations 31 (3), 387-416, 2008	239	2008
Attractors for modulation equations on unbounded domains-existence and comparison A Mielke, G Schneider Nonlinearity 8 (5), 743, 1995	236	1995
Energetic formulation of multiplicative elasto-plasticity using dissipation distances A Mielke Continuum Mechanics and Thermodynamics 15 (4), 351-382, 2003	224	2003
A mathematical model for rate-independent phase transformations with hysteresis A Mielke, F Theil Proceedings of the Workshop on “Models of Continuum Mechanics in Analysis …, 1999	223	1999
On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion A Mielke, MA Peletier, DRM Renger Potential Analysis 41, 1293-1327, 2014	204	2014
The Ginzburg-Landau equation in its role as a modulation equation A Mielke Handbook of dynamical systems 2, 759-834, 2002	189	2002
Geodesic convexity of the relative entropy in reversible Markov chains A Mielke Calculus of Variations and Partial Differential Equations 48, 1-31, 2013	187	2013
On the rate-independent limit of systems with dry friction and small viscosity MA Efendiev, A Mielke Journal of Convex Analysis 13 (1), 151, 2006	180	2006

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